Lorenz Knots and their Geometric Classification (Thiago de Paiva, Monash University, Melbourne)

21.09.2023 12:15

Lorenz knots are periodic orbits of the Lorenz system, which is a system of three ordinary differential equations in R^3. This family of knots piqued the interest of mathematicians as it appears in this unexpected setting. Thurston proved that a non-trivial knot in S^3 is either a torus, a satellite, or a hyperbolic knot, which we call the geometric type of a knot. The geometric type of a knot is information that helps classify it. In this talk we will summarize what we have done and what we should do to complete the geometric classification of Lorenz links.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire "Topologie et géométrie"

entrée libre